18 citations · 41 across the 11 of their papers we have counts for
12 papers
Cyclic Lie-Rinehart algebras
Daniel Beltita, Alina Dobrogowska, Grzegorz Jakimowicz
We study Lie-Rinehart algebra structures in the framework provided by a duality pairing of modules over a unital commutative associative algebra. Thus, we construct examples of Lie…
A new look at Lie algebras
Alina Dobrogowska, Grzegorz Jakimowicz
We present a new look at description of real finite-dimensional Lie algebras. The basic element turns out to be a pair consisting of a linear mapping and its…
Periodic one-point rank one commuting difference operators
Alina Dobrogowska, Andrey E. Mironov
In this paper we study one-point rank one commutative rings of difference operators. We find conditions on spectral data which specify such operators with periodic coefficients.
Darboux transformations and second order difference equations
Alina Dobrogowska, David J. Fernández C
In this paper we implement the Darboux transformation, as well as an analogue of Crum's theorem, for a discrete version of Schrödinger equation. The technique is based on the use o…
Complete and vertical lifts of Poisson vector fields and infinitesimal deformations of Poisson tensor
Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
In this paper we prove that both complete and vertical lifts of a Poisson vector field from a Poisson manifold to its tangent bundle are also Poisson. We us…
Deformation of algebroid bracket of differential forms and Poisson manifold
Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
We construct the family of algebroid brackets on the tangent bundle to a Poisson manifold starting from an algebroid bracket of differential fo…